# SOLUTION: In the xy-plane, line "l" passes through the origin and is perpendicular to the line 4x+y=k, where k is a constant. If the two lines intersect at point (t, t+1), what is the value

Algebra ->  Algebra  -> College  -> Linear Algebra -> SOLUTION: In the xy-plane, line "l" passes through the origin and is perpendicular to the line 4x+y=k, where k is a constant. If the two lines intersect at point (t, t+1), what is the value      Log On

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 Click here to see ALL problems on Linear Algebra Question 470538: In the xy-plane, line "l" passes through the origin and is perpendicular to the line 4x+y=k, where k is a constant. If the two lines intersect at point (t, t+1), what is the value of t? The answer is -4/3, but I am not sure how to get this answer? Please help.Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!changing to slope-intercept, the given line becomes ___ y = -4x + k (the slope being -4) since perpendicular lines have negative-reciprocal slopes, the equation of "l" is ___ y = (1/4)x ___ the constant, intercept, term is zero because the line goes through the origin substituting ___ (t + 1) = (t) / 4 4t + 4 = t